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Finding the Third Proportional to 254,378 and 591,449

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Solution

The third proportional to 254,378 and 591,449 is: 1,375,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,378 : 591,449 = 591,449 : x
  2. Step 2: Convert to fraction form
    254,378/591,449 = 591,449/x
  3. Step 3: Cross multiply
    254,378x = 591,449 × 591,449
  4. Step 4: Simplify right side
    254,378x = 349,811,919,601
  5. Step 5: Solve for x
    x = 349,811,919,601/254,378
  6. Step 6: Final answer
    x = 1,375,165.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.